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Finding the Third Proportional to 326,743.88 and 683,407.13

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Solution

The third proportional to 326,743.88 and 683,407.13 is: 1,429,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,743.88 : 683,407.13 = 683,407.13 : x
  2. Step 2: Convert to fraction form
    326,743.88/683,407.13 = 683,407.13/x
  3. Step 3: Cross multiply
    326,743.88x = 683,407.13 × 683,407.13
  4. Step 4: Simplify right side
    326,743.88x = 467,045,298,500.77
  5. Step 5: Solve for x
    x = 467,045,298,500.77/326,743.88
  6. Step 6: Final answer
    x = 1,429,392.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.